Information on Result #2254111
Linear OA(9100, 531462, F9, 18) (dual of [531462, 531362, 19]-code), using 1 times truncation based on linear OA(9101, 531463, F9, 19) (dual of [531463, 531362, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(14) [i] based on
- linear OA(997, 531441, F9, 19) (dual of [531441, 531344, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(979, 531441, F9, 15) (dual of [531441, 531362, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(94, 22, F9, 3) (dual of [22, 18, 4]-code or 22-cap in PG(3,9)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(9100, 531462, F9, 2, 18) (dual of [(531462, 2), 1062824, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9100, 531462, F9, 3, 18) (dual of [(531462, 3), 1594286, 19]-NRT-code) | [i] | ||
| 3 | Digital (82, 100, 531462)-net over F9 | [i] | ||
| 4 | Linear OOA(9100, 265731, F9, 2, 18) (dual of [(265731, 2), 531362, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(9100, 177154, F9, 3, 18) (dual of [(177154, 3), 531362, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(9100, 59051, F9, 18, 18) (dual of [(59051, 18), 1062818, 19]-NRT-code) | [i] | OA Folding and Stacking | |